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Finding the Fourth Proportional to 3,902.33, 5,855.80 and 1,438.87

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Solution

The fourth proportional to 3,902.33, 5,855.80 and 1,438.87 is: 2,159.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,902.33 : 5,855.80 = 1,438.87 : x
  2. Step 2: Convert to fraction form
    3,902.33/5,855.80 = 1,438.87/x
  3. Step 3: Cross multiply
    3,902.33x = 5,855.80 × 1,438.87
  4. Step 4: Simplify right side
    3,902.33x = 8,425,734.95
  5. Step 5: Solve for x
    x = 8,425,734.95/3,902.33
  6. Step 6: Final answer
    x = 2,159.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.